Application of the DRA method to the calculation of the four-loop QED-type tadpoles

Abstract

We apply the DRA method to the calculation of the four-loop `QED-type' tadpoles. For arbitrary space-time dimensionality D the results have the form of multiple convergent sums. We use these results to obtain the epsilon-expansion of the integrals around D=3 and D=4.

References added, some typos corrected. Results unchanged

References in corpus (5)

• Strong-Coupling Constant with Flavor Thresholds at Five Loops in the MS-bar Scheme
• Calculating multiloop integrals using dimensional recurrence relation and D-analyticity
• Heavy-quark QCD vacuum polarisation function: analytical results at four loops
• Hypergeometric representation of a four-loop vacuum bubble
• $(Z\alpha {)}^4$ order of the polarization operator in Coulomb field at low energy